Details

analyze309.0ms (10.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	11
1	20	11
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
12.5%	25%	62.5%	4
18.7%	12.5%	68.8%	5
21.9%	6.2%	71.9%	6
23.4%	3.1%	73.5%	7
24.2%	1.6%	74.2%	8
24.6%	0.8%	74.6%	9
24.8%	0.4%	74.8%	10
24.9%	0.2%	74.9%	11
24.9%	0.1%	75%	12
25%	0%	75%	13
25%	0%	75%	14

Symmetry

Compiler

Compiled 8 to 8 computations (0% saved)

sample19.0ms (0.7%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	20	11
1	20	11

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (/.f64 1 x) 1)

rewrite45.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

17×	`add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64`
6×	`times-frac_binary64` `difference-of-squares_binary64`
3×	`add-log-exp_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub-inv_binary64`
2×	`add-cube-cbrt_binary64` `distribute-lft-out--_binary64`
1×	`diff-log_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `div-inv_binary64`

Counts

1 → 25

Calls

1 calls:

11.0ms

(-.f64 (/.f64 1 x) 1)

Compiler

Compiled 361 to 307 computations (15% saved)

series30.0ms (1%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

26.0ms

(-.f64 (/.f64 1 x) 1)

Compiler

Compiled 85 to 84 computations (1.2% saved)

simplify88.0ms (3%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4854	331
1	4854	331

prune29.0ms (1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	29	2	31
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	30	2	32

Error

Counts

32 → 2

Compiler

Compiled 376 to 318 computations (15.4% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 -1 (sqrt.f64 (/.f64 1 x)))
0.1b	(sqrt.f64 (/.f64 1 x))
0.1b	(sqrt.f64 (/.f64 1 x))
0.4b	(*.f64 (+.f64 1 (sqrt.f64 (/.f64 1 x))) (+.f64 -1 (sqrt.f64 (/.f64 1 x))))

rewrite181.0ms (6.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

32×	`add-sqr-sqrt_binary64`
29×	`*-un-lft-identity_binary64`
28×	`sqrt-prod_binary64`
22×	`times-frac_binary64`
20×	`add-cube-cbrt_binary64`
10×	`pow1_binary64`
7×	`flip3-+_binary64` `flip-+_binary64`
6×	`add-exp-log_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64` `associate-l_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`
5×	`distribute-lft-out_binary64`
4×	`frac-times_binary64` `associate-r_binary64`
3×	`div-inv_binary64`
2×	`associate-l/_binary64` `associate-r/_binary64` `pow1/2_binary64` `inv-pow_binary64` `pow-flip_binary64` `sqrt-div_binary64`
1×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `*-commutative_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

4 → 100

Calls

4 calls:

19.0ms	(*.f64 (+.f64 1 (sqrt.f64 (/.f64 1 x))) (+.f64 -1 (sqrt.f64 (/.f64 1 x))))
8.0ms	(+.f64 -1 (sqrt.f64 (/.f64 1 x)))
3.0ms	(sqrt.f64 (/.f64 1 x))
3.0ms	(sqrt.f64 (/.f64 1 x))

Compiler

Compiled 2371 to 2035 computations (14.2% saved)

series71.0ms (2.4%)

Error

Counts

4 → 12

Calls

4 calls:

25.0ms	(*.f64 (+.f64 1 (sqrt.f64 (/.f64 1 x))) (+.f64 -1 (sqrt.f64 (/.f64 1 x))))
14.0ms	(sqrt.f64 (/.f64 1 x))
13.0ms	(sqrt.f64 (/.f64 1 x))
12.0ms	(+.f64 -1 (sqrt.f64 (/.f64 1 x)))

Compiler

Compiled 466 to 422 computations (9.4% saved)

simplify75.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5279	1316

prune125.0ms (4.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	112	2	114

Error

Counts

114 → 2

Compiler

Compiled 2092 to 1771 computations (15.3% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (-.f64 (/.f64 1 x) 1)) (cbrt.f64 (-.f64 (/.f64 1 x) 1)))
0.6b	(cbrt.f64 (-.f64 (/.f64 1 x) 1))
0.6b	(cbrt.f64 (-.f64 (/.f64 1 x) 1))
0.6b	(cbrt.f64 (-.f64 (/.f64 1 x) 1))

rewrite438.0ms (14.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

144×	`add-sqr-sqrt_binary64`
126×	`cbrt-prod_binary64`
104×	`*-un-lft-identity_binary64`
50×	`times-frac_binary64`
48×	`difference-of-squares_binary64`
29×	`swap-sqr_binary64`
27×	`difference-of-sqr-1_binary64`
22×	`distribute-lft-out--_binary64`
18×	`cbrt-div_binary64`
17×	`associate-l_binary64` `associate-r_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64` `div-inv_binary64`
9×	`pow1/3_binary64` `flip3--_binary64` `flip--_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `frac-times_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `associate-l/_binary64` `associate-r/_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `*-commutative_binary64`

Counts

4 → 165

Calls

4 calls:

34.0ms	(*.f64 (cbrt.f64 (-.f64 (/.f64 1 x) 1)) (cbrt.f64 (-.f64 (/.f64 1 x) 1)))
8.0ms	(cbrt.f64 (-.f64 (/.f64 1 x) 1))
8.0ms	(cbrt.f64 (-.f64 (/.f64 1 x) 1))
8.0ms	(cbrt.f64 (-.f64 (/.f64 1 x) 1))

Compiler

Compiled 5395 to 4622 computations (14.3% saved)

series261.0ms (8.9%)

Error

Counts

4 → 32

Calls

4 calls:

56.0ms	(cbrt.f64 (-.f64 (/.f64 1 x) 1))
55.0ms	(cbrt.f64 (-.f64 (/.f64 1 x) 1))
54.0ms	(*.f64 (cbrt.f64 (-.f64 (/.f64 1 x) 1)) (cbrt.f64 (-.f64 (/.f64 1 x) 1)))
52.0ms	(cbrt.f64 (-.f64 (/.f64 1 x) 1))

Compiler

Compiled 1975 to 1772 computations (10.3% saved)

simplify117.0ms (4%)

Algorithm

1×	egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4916	3991
1	4916	3991

prune376.0ms (12.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	197	0	197
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	197	2	199

Error

Counts

199 → 2

Compiler

Compiled 5597 to 4743 computations (15.3% saved)

regimes97.0ms (3.3%)

Accuracy

Total 0.0b remaining (35.6%)

Threshold costs 0.0b (35.6%)

Compiler

Compiled 575 to 542 computations (5.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	24
1	31	24

Removed

()

end0.0ms (0%)

sample635.0ms (21.6%)

Algorithm

1×

intervals

Results

291.0ms	8000×	body	128	valid
0.0ms	2×	body	128	nan

Compiler

Compiled 118 to 112 computations (5.1% saved)

Details

analyze309.0ms (10.5%)

sample19.0ms (0.7%)

simplify8.0ms (0.3%)

prune4.0ms (0.1%)

localize7.0ms (0.2%)

rewrite45.0ms (1.5%)

series30.0ms (1%)

simplify88.0ms (3%)

prune29.0ms (1%)

localize9.0ms (0.3%)

rewrite181.0ms (6.2%)

series71.0ms (2.4%)

simplify75.0ms (2.5%)

prune125.0ms (4.2%)

localize9.0ms (0.3%)

rewrite438.0ms (14.9%)

series261.0ms (8.9%)

simplify117.0ms (4%)

prune376.0ms (12.8%)

regimes97.0ms (3.3%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample635.0ms (21.6%)

Profiling